For the sequential first-order reaction , consider the highly specific limiting case where the rate constants are exactly equal (). Applying L'Hôpital's limit theory, what does the formula for collaps

Question

For the sequential first-order reaction $A \xrightarrow{k_1} B \xrightarrow{k_2} C$, consider the highly specific limiting case where the rate constants are exactly equal ($k_1 = k_2 = k$). Applying L'Hôpital's limit theory, what does the formula for $t_{max}$ collapse into?

Prashant Kotian · Accepted Answer

Correct answer: B. When precisely equals , the standard logarithmic formula produces an undefined division. Applying mathematical limit operations as robustly proves that the timestamp simplifies perfectly to .

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